Details

sample104.0ms

Algorithm

intervals

Results

21.0ms	146×	body	160	valid
18.0ms	506×	pre	80	true
18.0ms	250×	body	80	nan
9.0ms	110×	body	80	valid

simplify135.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	12	17
1	22	17
2	42	16
3	83	16
4	112	16
5	120	16
done	120	16

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.5b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt` `add-log-exp`
9×	`pow1`
6×	`distribute-rgt-neg-in` `distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `associate-r` `pow-prod-down`
2×	`neg-sub0` `cbrt-undiv` `sum-log` `flip3-+` `div-exp` `associate-+l-` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `neg-mul-1` `sub-neg` `frac-2neg` `flip3--` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `neg-log` `-commutative` `div-inv` `flip--`

Counts

4 → 93

Calls

4 calls:

7.0ms	(- (* b b) (* (* 3.0 a) c))
14.0ms	(* (* 3.0 a) c)
80.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
19.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series344.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- (* b b) (* (* 3.0 a) c))
35.0ms	(* (* 3.0 a) c)
130.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
96.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.5s

Counts

105 → 105

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	167	1559
1	472	1480
2	2777	1251
done	5000	1244

prune601.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.8b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune98.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 8.8b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.3b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r/` `associate-/l`
1×	`pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 84

Calls

3 calls:

7.0ms	(/ (* a c) b)
28.0ms	(* -1.5 (/ (* a c) b))
33.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series98.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (* a c) b)
37.0ms	(* -1.5 (/ (* a c) b))
33.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	129	1138
1	401	1097
2	2851	877
done	5001	829

prune396.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 8.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* a c) b)
0.2b	(/ (* -1.5 (/ (* a c) b)) 3.0)
0.3b	(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
0.3b	(* -1.5 (/ (* a c) b))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-cbrt-cube` `add-exp-log`
42×	`times-frac`
29×	`add-sqr-sqrt`
27×	`*-un-lft-identity` `add-cube-cbrt`
21×	`cbrt-undiv` `div-exp`
13×	`prod-exp` `cbrt-unprod`
9×	`associate-/r` `associate-/l`
8×	`div-inv`
7×	`associate-r`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`associate-*r/` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `unswap-sqr`

Counts

4 → 134

Calls

4 calls:

15.0ms	(/ (* a c) b)
25.0ms	(/ (* -1.5 (/ (* a c) b)) 3.0)
18.0ms	(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
14.0ms	(* -1.5 (/ (* a c) b))

series149.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (* a c) b)
42.0ms	(/ (* -1.5 (/ (* a c) b)) 3.0)
29.0ms	(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
51.0ms	(* -1.5 (/ (* a c) b))

simplify1.4s

Counts

146 → 146

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	200	1928
1	541	1860
2	3274	1618
done	5001	1612

prune674.0ms

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 8.6b

regimes1.6s

Accuracy

47.5% (7.1b remaining)

Error of 16.2b against oracle of 9.1b and baseline of 22.6b

bsearch3.0ms

Steps

Iters	Range		Point
0	313.18788541642925	317.78179210620726	315.48483876131826

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	40
1	29	40
2	37	40
done	37	40

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.1s	16401×	pre	80	true
710.0ms	8401×	body	80	nan
638.0ms	4524×	body	160	valid
290.0ms	3476×	body	80	valid